- #1
Jess_18033152
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Homework Statement
How to rearrange following equation?
Homework Equations
f = (1/2pi) square root of (k/m)
The Attempt at a Solution
(f^2 x m)/ (1/2pi)^2
Is this how i would do it?
Simple Harmonic Motion - rearranging equation
- Thread starter Jess_18033152
- Start date
In summary, the equation for simple harmonic motion is x = A sin(ωt + φ), where x is the displacement, A is the amplitude, ω is the angular frequency, and φ is the phase angle. The equation can be rearranged by isolating any of the variables through algebraic operations. The amplitude, denoted by A, represents the maximum displacement from equilibrium and determines the magnitude of the oscillations. The angular frequency, denoted by ω, affects the speed of oscillation, with a higher frequency resulting in faster oscillations and a lower frequency resulting in slower oscillations. The phase angle, denoted by φ, can also affect the behavior of a system in simple harmonic motion by determining the initial position of
How to rearrange following equation?
f = (1/2pi) square root of (k/m)
(f^2 x m)/ (1/2pi)^2
Is this how i would do it?
- #2
BvU
Science Advisor
Homework Helper
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- 4,806
Depends on what your intention is 
Do you vary something and measure something else, and want to obtain a linear relationship ?
Do you vary something and measure something else, and want to obtain a linear relationship ?
- #3
Jess_18033152
- 32
- 0
Thanks, I wanted to find k but worked out how to rearrange it :)BvU said:Depends on what your intention is
Do you vary something and measure something else, and want to obtain a linear relationship ?
1. What is the equation for simple harmonic motion?
The equation for simple harmonic motion is x = A sin(ωt + φ), where x is the displacement, A is the amplitude, ω is the angular frequency, and φ is the phase angle.
2. How do I rearrange the equation for simple harmonic motion?
To rearrange the equation, you can isolate any of the variables by performing algebraic operations. For example, if you want to solve for A, you would divide both sides by sin(ωt + φ), and if you want to solve for ω, you would divide both sides by t.
3. What is the significance of the amplitude in the equation for simple harmonic motion?
The amplitude, denoted by A, represents the maximum displacement from equilibrium. It determines the magnitude of the oscillations and is an important factor in understanding the behavior of a system in simple harmonic motion.
4. How does the angular frequency affect the motion in simple harmonic motion?
The angular frequency, denoted by ω, is responsible for the speed of oscillation in the system. A higher angular frequency results in faster oscillations, while a lower angular frequency results in slower oscillations.
5. Can the phase angle affect the behavior of a system in simple harmonic motion?
Yes, the phase angle, denoted by φ, can affect the behavior of a system in simple harmonic motion. It determines the initial position of the system at time t = 0. A different phase angle can result in a different starting position and therefore, a different motion pattern.
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